135511965024 has 96 divisors (see below), whose sum is σ = 364163887584. Its totient is φ = 44110540800.

The previous prime is 135511965023. The next prime is 135511965073. The reversal of 135511965024 is 420569115531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135511965023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612082 + ... + 803534.

It is an arithmetic number, because the mean of its divisors is an integer number (3793373829).

Almost surely, 2^135511965024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135511965024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182081943792).

135511965024 is an abundant number, since it is smaller than the sum of its proper divisors (228651922560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135511965024 is a wasteful number, since it uses less digits than its factorization.

135511965024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191640 (or 191632 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 135511965024 in words is "one hundred thirty-five billion, five hundred eleven million, nine hundred sixty-five thousand, twenty-four".